I know Z test is applied for Test concerning two proportions.
Let there be two treatments with population proportions p1 and p2 and sample sizes of n1 and n2 respectively. Samples associated with a certain event are x1 and x2 with the respective proportions.
But I applied over the whole population i.e. n1=n2=n.
Will this test be valid then?
No. There are validity conditions to conduct a test of two proportions.
The sampling method for each population is simple random sampling.
The samples are independent.
Each sample includes at least 10 successes and 10 failures.
Each population is at least 20 times as big as its sample.
The first and fourth bullet points fail.